What is the degree of (0x^4+0x^2+0)?
Answer and explanation
Correct answer: Not defined
On simplifying, the given expression becomes 0, so it is the zero polynomial. The degree of a non-zero polynomial is the highest power of a term with a non-zero coefficient, but the zero polynomial has no such term. Hence, its degree is not defined. Degree 0 applies to a non-zero constant polynomial, such as 5. Exam tip: simplify a polynomial and remove terms with zero coefficients before finding its degree.
Frequently asked questions
What is the correct answer to this question?
Not defined
Why is this the correct answer?
On simplifying, the given expression becomes 0, so it is the zero polynomial. The degree of a non-zero polynomial is the highest power of a term with a non-zero coefficient, but the zero polynomial has no such term. Hence, its degree is not defined. Degree 0 applies to a non-zero constant polynomial, such as 5. Exam tip: simplify a polynomial and remove terms with zero coefficients before finding its degree.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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